This is a long, long discussion that's been poured over by many people over the years. The basic issue with doing this to 40k is that doing alternating activations with the phased turn would be incredibly slow; Kill-Team works because there are very few entities on the table at any one time. If you look at successful alternating activation games that aren't 40k they tend to make an "activation" the unit's whole turn rather than trying to alternate units several times a turn. Converting 40k to AA is a long and complicated process because GW has built into a lot of stats the assumption that a given unit may be able to do 6-8 things a turn (move, cast, shoot, charge, fight, deny, overwatch, fight).
If you want to play a game like 40k but with alternating activations look into Bolt Action/Beyond the Gates of Antares/Konflikt '47; they're a family of closely related games (historical-WWII, sci-fi, and weird-WWII) built by ex-GW people that have a strong alternating activation system and work very well.
If you want to try and build your own AA system feel free to do so but be aware that you're dooming yourself to never finding any pick-up games; people are generally leery of homebrew stuff unless they know and trust you, you may need to build a group of people who are willing to try your stuff by being willing to play the things they find fun first.
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